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Finding the Fourth Proportional to 700, 966 and 424

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Solution

The fourth proportional to 700, 966 and 424 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 966 = 424 : x
  2. Step 2: Convert to fraction form
    700/966 = 424/x
  3. Step 3: Cross multiply
    700x = 966 × 424
  4. Step 4: Simplify right side
    700x = 409,584
  5. Step 5: Solve for x
    x = 409,584/700
  6. Step 6: Final answer
    x = 585.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.